96012000 has 384 divisors, whose sum is σ = 402554880. Its totient is φ = 21772800.

The previous prime is 96011989. The next prime is 96012001. The reversal of 96012000 is 21069.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755937 + ... + 756063.

It is an arithmetic number, because the mean of its divisors is an integer number (1048320).

Almost surely, 2^96012000 is an apocalyptic number.

96012000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

96012000 is an abundant number, since it is smaller than the sum of its proper divisors (306542880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

96012000 is a wasteful number, since it uses less digits than its factorization.

96012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 96012000 is about 9798.5713244330. The cubic root of 96012000 is about 457.9047747972.

Adding to 96012000 its reverse (21069), we get a palindrome (96033069).

The spelling of 96012000 in words is "ninety-six million, twelve thousand".